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Finding the Third Proportional to 551,068,945 and 1,189,800,982

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Solution

The third proportional to 551,068,945 and 1,189,800,982 is: 2,568,873,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,068,945 : 1,189,800,982 = 1,189,800,982 : x
  2. Step 2: Convert to fraction form
    551,068,945/1,189,800,982 = 1,189,800,982/x
  3. Step 3: Cross multiply
    551,068,945x = 1,189,800,982 × 1,189,800,982
  4. Step 4: Simplify right side
    551,068,945x = 1,415,626,376,768,164,352
  5. Step 5: Solve for x
    x = 1,415,626,376,768,164,352/551,068,945
  6. Step 6: Final answer
    x = 2,568,873,440.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.